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Finding the Fourth Proportional to 40,506.50, 55,901.13 and 23,744.90

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Solution

The fourth proportional to 40,506.50, 55,901.13 and 23,744.90 is: 32,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,506.50 : 55,901.13 = 23,744.90 : x
  2. Step 2: Convert to fraction form
    40,506.50/55,901.13 = 23,744.90/x
  3. Step 3: Cross multiply
    40,506.50x = 55,901.13 × 23,744.90
  4. Step 4: Simplify right side
    40,506.50x = 1,327,366,741.74
  5. Step 5: Solve for x
    x = 1,327,366,741.74/40,506.50
  6. Step 6: Final answer
    x = 32,769.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.